已知多项式-2X²+3与A两倍的差是2X²+2X-7(方程解答,(1)求多项式A(2)当A=-1时,求A的值

问题描述:

已知多项式-2X²+3与A两倍的差是2X²+2X-7(方程解答,
(1)求多项式A
(2)当A=-1时,求A的值

A=(-2X²+3-(2X²+2X-7))/2 = (-4x²-2x+10)/2=-2x-x+5

(1)依题意得:
  (-2x²+3)-2A=2x²+2x-7
 ∴2A=-4x²-2x+10
  A=-2x²-x+5
(2)当x=-1时
 A=-2x²-x+5
  =-2×(-1)²-(-1)+5
  =4